Search a number
-
+
354209385097 is a prime number
BaseRepresentation
bin1010010011110001000…
…01100100101010001001
31020212021110110010011201
411021320201210222021
521300410100310342
6430415504224201
734406432045011
oct5117041445211
91225243403151
10354209385097
11127245a66707
125879400b061
132752b9b2039
141320292cc41
159331888db7
hex5278864a89

354209385097 has 2 divisors, whose sum is σ = 354209385098. Its totient is φ = 354209385096.

The previous prime is 354209385071. The next prime is 354209385121. The reversal of 354209385097 is 790583902453.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202418108281 + 151791276816 = 449909^2 + 389604^2 .

It is an emirp because it is prime and its reverse (790583902453) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 354209385097 - 211 = 354209383049 is a prime.

It is a super-3 number, since 3×3542093850973 (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (354209385697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 177104692548 + 177104692549.

It is an arithmetic number, because the mean of its divisors is an integer number (177104692549).

Almost surely, 2354209385097 is an apocalyptic number.

It is an amenable number.

354209385097 is a deficient number, since it is larger than the sum of its proper divisors (1).

354209385097 is an equidigital number, since it uses as much as digits as its factorization.

354209385097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 354209385097 in words is "three hundred fifty-four billion, two hundred nine million, three hundred eighty-five thousand, ninety-seven".